Transverse Front Instability in Bistable Systems with Long-Range Interactions
Transverse Front Instability in Bistable Systems with Long-Range Interactions
复制标题
长程相互作用双稳态系统中的横向前沿不稳定性
DOI：
10.1143/ptp.119.1
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
K. Ouchi
中科院分区：
文献类型：
--
作者：
Naofumi Tsukamoto;H. Fujisaka;K. Ouchi
本文利用具有长程相互作用的Ginzburg-Landau方程，研究了非线性系统中平面波阵面相对于横向扰动的稳定性。众所周知，当一个双稳态系统存在短程相互作用和长程相互作用时，连接两个稳定态的波前会表现出横向不稳定性。我们专注于相互作用的非局部性质的影响，使用长距离的相互作用与指数衰减（弱非局部性）和幂律衰减（强非局部性）。据发现，在前一种情况下，平面前可以通过改变参数值稳定，而在后一种情况下，强非局部性质的相互作用，防止稳定的前。
Using the Ginzburg-Landau equation with a long-range interaction, we study the stability of a planar front with respect to transverse perturbations in bistable systems. It is well known that when a bistable system has competiting short-range and long-range interactions, the front connecting two stable states can exhibit transverse instability. We focus on the effects of the nonlocal nature of the interaction, using long-range interactions with exponential decay (weak nonlocality) and power-law decay (strong nonlocality). It is found that in the former case, the planar front can be stabilized by varying a parameter value, while in the latter case, the strong nonlocal nature of the interaction prevents stabilization of the front.